Nineteen of Medvedev's 21 championships have been earned on hard courts
A revitalized Medvedev claimed his maiden title for 882 days with success over opponent Moutet in the Almaty Open title decider.
Medvedev, a former top-ranked player, has endured a challenging period, managing just one win at the big events and suffering a setback at the American major.
His varied form on the professional circuit - and difficulties with his service game in especial - led to him dropping out of the elite rankings and finally splitting with long-time coach Cervara.
Now working with his coach and his other coach, Medvedev has steadily progressed in the recent weeks - culminating in a hard-fought three-set triumph over opponent Moutet.
This represents the player's first championship since the 2023 Rome Masters and first on a hardcourt since spring of 2023.
Victory also indicates the Russian has secured twenty-one victories at 21 various tournaments.
"It's the first time I am participating in a competition with my children together, so to get a title is really nice," stated tennis professional Medvedev.
"This championship is in tribute of my child her name, because the first title I won when my child her name was delivered was for her."
Medvedev, the past champion, had failed in his past six title deciders, comprising in the German tournament earlier this year.
Medvedev's counter-punching play style and frequent outbursts on court had caused observers to wonder if his skill to perform at the highest level was finished.
But the 29-year-old has made changes in the past month, attempting to approach the net and compete aggressively, backed up by an improved serve.
He recovered from a break down in the initial set against the challenging Frenchman, securing four of the concluding five exchanges to take the lead.
The competitors swapped break points in the second set before the Frenchman, bidding for his first ATP Tour championship, gained dominance to create a final set.
The opponent rescued 4 early opportunities in a tight third set before the Russian won the break to 15 to secure the win.
Suitably, the winner secured the title with a rally at the front of the court, with his opponent incapable to manage a return after over two and a half hours.